Question 186744
# 1




{{{-2x-4=3x-19}}} Start with the given equation.



{{{-2x=3x-19+4}}} Add {{{4}}} to both sides.



{{{-2x-3x=-19+4}}} Subtract {{{3x}}} from both sides.



{{{-5x=-19+4}}} Combine like terms on the left side.



{{{-5x=-15}}} Combine like terms on the right side.



{{{x=(-15)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{x}}}.



{{{x=3}}} Reduce.



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Answer:


So the answer is {{{x=3}}}




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# 2




{{{-3-2x=-7x+57}}} Start with the given equation.



{{{-2x=-7x+57+3}}} Add {{{3}}} to both sides.



{{{-2x+7x=57+3}}} Add {{{7x}}} to both sides.



{{{5x=57+3}}} Combine like terms on the left side.



{{{5x=60}}} Combine like terms on the right side.



{{{x=(60)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=12}}} Reduce.



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Answer:


So the answer is {{{x=12}}} 



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# 3




{{{-3x+2=-5x+16}}} Start with the given equation.



{{{-3x=-5x+16-2}}} Subtract {{{2}}} from both sides.



{{{-3x+5x=16-2}}} Add {{{5x}}} to both sides.



{{{2x=16-2}}} Combine like terms on the left side.



{{{2x=14}}} Combine like terms on the right side.



{{{x=(14)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=7}}} Reduce.



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Answer:


So the answer is {{{x=7}}} 



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# 4




{{{4-6x=x+32}}} Start with the given equation.



{{{-6x=x+32-4}}} Subtract {{{4}}} from both sides.



{{{-6x-x=32-4}}} Subtract {{{x}}} from both sides.



{{{-7x=32-4}}} Combine like terms on the left side.



{{{-7x=28}}} Combine like terms on the right side.



{{{x=(28)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}.



{{{x=-4}}} Reduce.



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Answer:


So the answer is {{{x=-4}}}